PART II: Answer the question in this part. Each correct answer will receive
2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. Not that diagrams are not necessarily drawn to scale. A correct numerical answer with no work shown will receive only
1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil.
2 points
2
Question 1
1.
Solve algebraically for x :
2 points
2
Question 2
2.
The number of people who attended a school's last six basketball games increased as the team neared the state sectional games. The table shows the data.
State the type of function that best fits the given data.
Justify your choice of a function type.
2 points
2
Question 3
3.
Solve x2 - 8x - 9 = 0 algebraically.
Explain the first step you used to solve the given equation.
2 points
2
Question 4
4.
The graph of f(t) models the height, in feet, that a bee is flying above the ground with respect to the time it travels in t seconds.
State all time intervals when the bee's rate of change is zero feet per second.
Explain your reasoning.
2 points
2
Question 5
5.
Graph the function f(x) = 2 x - 7
on the set of axes provided.
If g(x) = 1.5x - 3 ,
determine if f(x) > g(x)
when x = 4.
Justify your answer.
2 points
2
Question 6
6.
Determine algebraically the zeros of
f(x) = 3x3 + 21x2 + 36x .
2 points
2
Question 7
7.
Santina is considering a vacation and has obtained high-temperature data from the last two weeks for Miami and Los Angeles.
Which location has the least variability in temperatures?
Explain how you arrived at your answer.
1 point
1
Question 8
8.
Solve the quadratic equation for the exact values of x .
4x2 - 5 = 75
PART III: Answer the question in this part. Each correct answer will receive
4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. Not that diagrams are not necessarily drawn to scale. A correct numerical answer with no work shown will receive only
1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil.
1 point
1
Question 9
9.
Marilyn collects old dolls. She purchases a doll for $450. Research shows this doll's value will increase by 2.5% each year.
Write an equation that determines the value, V , of the doll t years after purchase.
3 points
3
Question 10
10.
Marilyn collects old dolls. She purchases a doll for $450. Research shows this doll's value will increase by 2.5% each year.
Assuming the doll's rate of appreciation remains the same, will the doll's value be doubled in 20 years
Justify your reasoning.
2 points
2
Question 11
11.
The data given in the table show some of the results of a study comparing the height of a certain breed of dog, based upon its mass.
Write the linear regression equation for these data, where x is the mass and y is the height. Round all values to the nearest tenth.
1 point
1
Question 12
12.
The data given in the table show some of the results of a study comparing the height of a certain breed of dog, based upon its mass.
State the value of the correlation coefficient to the nearest tenth.
1 point
1
Question 13
13.
The data given in the table show some of the results of a study comparing the height of a certain breed of dog, based upon its mass.
Explain what the correlation coefficient means in the context of this problem.
3 points
3
Question 14
14.
Myranda received a movie gift card for $100 to her local theater. Matinee tickets cost $7.50 each and evening tickets cost $12.50 each.
If x represents the number of matinee tickets she could purchase, and y represents the number of evening tickets she could purchase, write an inequality that represents all the possible ways Myranda could spend her gift card on movies at the theater.
On the set of axes below, graph this inequality.
What is the maximum number of matinee tickets Myranda could purchase with her gift card? Explain your answer.
1 point
1
Question 15
15.
Myranda received a movie gift card for $100 to her local theater. Matinee tickets cost $7.50 each and evening tickets cost $12.50 each.
If x represents the number of matinee tickets she could purchase, and y represents the number of evening tickets she could purchase, write an inequality that represents all the possible ways Myranda could spend her gift card on movies at the theater.
On the set of axes below, graph this inequality.
Explain your answer for the maximum number of matinee tickets Myranda could purchase.
3 points
3
Question 16
16.
One spring day, Elroy noted the time of day and the temperature, in degrees Fahrenheit. His findings are stated below.
At 6 a.m., the temperature was 50o F. For the next 4 hours, the temperature rose 3o per hour.
The next 6 hours, it rose 2o per hour.
The temperature then stayed steady until 6 p.m.
For the next 2 hours, the temperature dropped 1o per hour.
The temperature then dropped steadily until the temperature was 56o F at midnight.
On the set of axes, graph Elroy's data.
State the entire time interval for which the temperature was increasing.
1 point
1
Question 17
17.
One spring day, Elroy noted the time of day and the temperature, in degrees Fahrenheit. His findings are stated below.
At 6 a.m., the temperature was 50o F. For the next 4 hours, the temperature rose 3o per hour.
The next 6 hours, it rose 2o per hour.
The temperature then stayed steady until 6 p.m.
For the next 2 hours, the temperature dropped 1o per hour.
The temperature then dropped steadily until the temperature was 56o F at midnight.
On the set of axes, graph Elroy's data.
State the entire time interval for which the temperature was increasing.
PART IV: Answer the question in this part. Each correct answer will receive
6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. Not that diagrams are not necessarily drawn to scale. A correct numerical answer with no work shown will receive only
1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil.
4 points
4
Question 18
18.
A recreation center ordered a total of 15 tricycles and bicycles from a sporting goods store. The number of wheels for all the tricycles and bicycles totaled 38.
Write a linear system of equations that models this scenario, where t represents the number of tricycles and b represents the number of bicycles ordered.
On the set of axes, graph this system of equations.
Based on your graph of this scenario, could the recreation center have ordered 10 tricycles? Explain your reasoning.
